Question

The graph shown is the solution set for which of the following inequalities?

y ≤ x - 1
y ≤ | x + 1|
y ≤ | x | - 1

Answer 1

Answer with Step-by-step explanation:

As we can see from the graph when x=0 the shaded region is of y≤1.

We will see which option satisfies y≤1 when x=0.

y ≤ x - 1

when x=0

y≤-1

y ≤ | x + 1|

when x=0

y≤1

y ≤ | x | - 1

when x=0

y≤-1

Hence, The graph shown is the solution set is of:

y ≤ | x + 1|

Answer 2

In this case the graph represents the following inequality
y ≤ | x + 1|